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math.GT2003★ 9 cited
Cocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology
J. Scott Carter, Mohamed Elhamdadi, Matias Graña +1
Three new knot invariants are defined using cocycles of the generalized quandle homology theory that was proposed by Andruskiewitsch and Graña. We specialize that theory to the cas…
math.GT2003
Knot theory for self-indexed graphs
Matias Graña, Vladimir Turaev
We introduce and study so-called self-indexed graphs. These are (oriented) finite graphs endowed with a map from the set of edges to the set of vertices. Such graphs naturally aris…